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I am Tadanaga Takahashi, a Postdoctoral Fellow in the Department of Mathematics and Statistics at the University of New Mexico. My academic interests lie in teaching mathematics, numerical analysis, and scientific computing. I earned my Ph.D. in Mathematical Sciences from the New Jersey Institute of Technology in 2023, where I also completed my bachelor’s degree in 2017.

Teaching

Since spring 2024, I have taught Calculus III, Applied Ordinary Differential Equations, and Introduction to Numerical Computing at UNM. Before joining UNM, I taught Calculus I as an adjunct instructor at NJIT and worked as a teaching assistant for courses including precalculus and calculus.

I approach teaching by developing mathematical ideas as a story: what motivates a method, how it works, and where its limitations lie. I design examples that emphasize the main concepts, and I use visualizations and computational experiments to help students connect theory with practice.

You can find course outlines and selected teaching materials on my Teaching page.

Research

My research focuses on numerical methods for partial differential equations, especially domain decomposition methods. Much of my work concerns finite element methods for Helmholtz wave-scattering problems, including transmission conditions and the treatment of cross-points where subdomains meet. My doctoral research also addressed domain decomposition methods for the nonlinear Monge–Ampère equation.

For more information, see my Research page and Publications.

Beyond mathematics

Outside of work, I enjoy running, cooking, playing the ukulele, and studying Japanese.

My curriculum vitae (PDF) provides a fuller account of my education, teaching, research, and academic activities.